Answer:
Step-by-step explanation:
In this question u can use relative speed of opposite direction
suppose speed of southbound train is x miles per hour so northbound train has speed of x+10 miles per hour.
Speed of tain1+ speed of train 2= Total distance/ total time
(x+10+x)=330/6
2x+10= 330/6
2x= 45
x=22.5 miles per hour (southbound train)
northbound train 22.5+10=32.5 miles per hour
Final answer:
The speed of the southbound train is 30 miles per hour, and the northbound train travels at a rate of 40 miles per hour, which is 10 miles per hour faster as per the problem's information.
Explanation:
The problem involves determining the rate of two trains, where one train travels northbound and the other southbound. The northbound train left at midnight, and the southbound train left three hours later. At 6 am, they were 330 miles apart. We know the northbound train travels 10 miles per hour faster than the southbound train.
Let's designate the speed of the southbound train as x miles per hour. Then the speed of the northbound train is x + 10 miles per hour. The southbound train travels for 3 hours (from 3 am to 6 am), and the northbound train travels for 6 hours (from midnight to 6 am).
The distance covered by the southbound train can be represented as 3x miles, and the distance covered by the northbound train would be 6(x + 10) miles. Together, these distances total 330 miles. Setting up the equation:
3x + 6(x + 10) = 330
Solving for x we get:
3x + 6x + 60 = 330
9x + 60 = 330
9x = 270
x = 30
Therefore, the speed of the southbound train is 30 miles per hour, and the speed of the northbound train is 40 miles per hour (30 + 10).
Which value of x makes the following equation true?
3(x - 4) - 12 = 2(x - 6) + 5
Answer:
x = 17
Step-by-step explanation:
3(x - 4) - 12 = 2(x - 6) + 5
3x - 12 - 12 = 2x - 12 + 5
3x - 24 = 2x - 7
3x - 2x = -7 + 24
x = 17
Answer:
x=17
Step-by-step explanation:
3(x - 4) - 12 = 2(x - 6) + 5
Distribute
3x -12 -12 =2x-12 +5
Combine like terms
3x-24 = 2x -7
Subtract 2x from each side
3x-2x -24 =2x-2x-7
x-24 = -7
Add 24 from each side
x-24+24 = -7+24
x = 17
Find the slope of the line that passes through (97,-54) and (-1, -15)
Answer:
The slope is -39/98
also known as m=-39/98
What do we do if the slope is a whole number ?
Answer: you convert it to a fraction
Step-by-step explanation: lets say the slope was 7 and you wanted to canovert it to a decimal
then you would make the denominator 1
so 7/1 which is equal to 7
hope this helps mark me brainliest if it helped
The graph of y = x^3 is transformed as shown in the graph below. Which equation represents the transformed function?
A) y=-2^3
B) y=-6x^3
C) y=2x^3
D) y=6x^3
Answer:
b
Step-by-step explanation:
Option B is correct. Equation B represents the transformed function. The following equation is observed from the graphs.
What is a function, exactly?It's a unique kind of connection with a predetermined domain and range, and every value in the domain is associated to exactly one value in the range, according to the function.
The given equation is,y=x³
The equation B represents the transformed function.
Hence, option B is correct.
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Pedro uses a coordinate system to map the locations of some tourist locations in a large city. Each grid unit represents 1 mile. Pedro wants to walk from the historic village to the science center. Then he will walk from the science center to the muesem. If he walks at speed of 2 7/10 miles per hour, how long will it take him. PLEASE ANSWER FAST
Answer:
5 hours
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.
My answer:
Given that:
Each grid unit represents 1 mile Pedro's routes are: historic village => the science center => the museum Speed of 2 7/10 = [tex]\frac{27}{10}[/tex] miles per hourand the given coordinates are:
historic village (-4 1/2, 5 1/4) = (-4.5, 5.25)
science center (-4 1/2, -1 3/4) = (-4.5, -1.75)
the museum (2, -1 3/4) = (2, -1.75)
=> The distance from historic village to the science center :
=[tex]\sqrt{(-4.5 -(-4.5))^{2} + (-1.75 - 5.25)^{2} }[/tex] = 7
=> The distance from the science center to the museum:
= [tex]\sqrt{(2 -(-4.5))^{2} + (-1.75 - (-1.75))^{2} }[/tex] = 6.5
=> the total distance he travel is: 7 + 6.5 = 13.5 miles
The hours he traveled is: 13.5 miles / [tex]\frac{27}{10}[/tex] miles per hour
= 5 hours
A pair of pants costs twice as much as a shirt. The total cost of 1 pair of pants and 1
shirt is $18. If s represents the cost of 1 shirt, which equation could you use to find the
cost of 1 shirt?
Answer:
The equation, or more accurately, the system of equations we can use is:
x + y = 18
2x = y
Step-by-step explanation:
Consider that the cost of the shirt was x.
Consider the cost of the pants to be y.
Then, you can say that 2x = y since twice the cost of the shirt would give you the cost of the pants which are represented by y.
The next piece of information can be used to form the equation x + y = 18 since the cost of a pair of pants and a shirt are, in total, $18.
We can use a system of equations to answer this.
2x = y
x + y = 18
Since y = 2x, use substitution.
x + 2x = 18
3x = 18 (Divide both sides by 3)
x = 6
x represents the cost of the shirt and thus, the shirt costs $6.
The equation, or more accurately, the system of equations we can use is:
x + y = 18
2x = y
Answer:
2s+1s = 18
3s = 18
Since the question asks for the equation
Step-by-step explanation:
Let s = cost of 1 shirt
Pants cost twice the price of 1 shirt
p = 2s
We are buying 1 pair of pants and 1 shirt for 18 dollars
2s+1s = 18
Combining like terms
3s = 18
Either equation can be used to solve
We can divide by 3 to solve for the cost of 1 shirt
3s/3 = 18/3
s = 6
Given a term in a geometric sequence and the common ratio, find the explicit formula, a11=5120 ans r=-2
Answer:
[tex]U_n=5(-2)^{n-1}[/tex]
Step-by-step explanation:
Given a geometric sequence, the nth term of the geometric sequence is obtained by using the formula:
[tex]U_n=ar^{n-1}[/tex]
If the eleventh term, [tex]a_{11}=5120[/tex]
and the common ratio, r=-2.
Then:
[tex]5120=a(-2)^{11-1}\\a=\frac{5120}{2^{10}} =5[/tex]
The explicit formula for the sequence is:
[tex]U_n=5(-2)^{n-1}[/tex]
Help please I’m on a time limit
Answer:
I think that it is 295 degrees
Step-by-step explanation:
What is the slope of the line on the graph below?
On a coordinate plane, a line goes through points (0, negative 5), (3, negative 4), and (6, negative 3).
Answer:
i think the answer is 1/3 but i'm not positive
Step-by-step explanation:
The slope of a linear line which is passing through the lines (0,-5), (3, -4) , (6,3) is 1/3. The slope of a straight line is the ratio of y values of two points to the difference in x values of the two points.
What is slope ?In mathematics, slope of a line describes the steepness or inclination and the direction of the line. Slope of a line is calculated based on the characteristic of the line.
For straight line passing through some points, the x and y coordinates are related by the following expression:
y = mx +c
Where c is the intercept m be the slope.
For a line passing through two points, the slope m is :
m = y2 - y1 / (x2- x1)
Consider the line passing through the points (0, -5) and (3, -4). The slope m = -4 - (-5) / (3 - 0) = 1/3
Similarly if we consider the points (3, -4) and (6, -3) we get the same slope 1/3.
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select the number like that matches the expression |-6-(-3)|
Answer:
3
Step-by-step explanation:
Firstly, do the numbers inside the absolute value bars.
-6-(-3)
The two negatives that are together turn to a addition sign.
-6+3
You can just subtract 6 and 3 which is 3 and add the - to it.
|-3|
The -3 turns to a 3 since the absolute value bars make all numbers positive within the bars.
Hope this helped.
Pren recorded this data set, which contains an outlier. 204, 216, 111, 224, 230, 211, 210, 198, 200, 218 What numbers represent the range, lower quartile, and upper quartiles? range: 210.5 lower quartile: 200 upper quartile: 218 range: 14 lower quartile: 111 upper quartile: 198 range: 119 lower quartile: 218 upper quartile: 200 range: 119 lower quartile: 200 upper quartile: 218
The numbers that bes represent the range, lower quartile and upper quartiles is:
d. 200 range: 119 lower quartile: 200 upper quartile: 218.What are the range, lower quartile, and upper quartiles?Range:
Range = Maximum Value - Minimum Value
Range = 230 - 111
Range = 119
Lower Quartile (Q1):
Lower Half: 111, 198, 200, 204, 210
Median of Lower Half = (200 + 204) / 2 = 202
Upper Quartile (Q3):
Upper Half: 211, 216, 218, 224, 230
Median of Upper Half = (216 + 218) / 2 = 217.
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What is the measure of QS?
84°
The measurement of arc QS is 168 degree.
Now, Let the center of the given circle is O .
And central angle is double of the angle subtended by the arc.
So central angle is twice of 84 degree.
Hence, the measure of QS is,
= 2 x 84
= 168 degree
So, the central angle is of measurement 168 degree.
Therefore, The measurement of arc QS is 168 degree.
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PLEASE HELP ASAP IT IMPORTANT THAT I GET THIS RIGHT PLEASE
Answer:
x=12, both angles are 144°
Step-by-step explanation:
Since the angles are Z-angles (lookup 'alternate exterior angles') they are the same.
This means that 10x+24 = 6x+72, which can be simplified to
10-6x = 72-24
4x = 48
x = 12
Substitute x=12 in either expression and you get 144.
Which number is an integer?
-3/4
0
2.3
Square root
Answer:
0
Step-by-step explanation:
An integer is a whole number with no decimals. 0 is the only one.
Answer:the last answer is pi not square root
Step-by-step explanation:
In ΔEFG, the measure of ∠G=90°, FG = 2.3 feet, and EF = 6.4 feet. Find the measure of ∠F to the nearest degree.
this is super complicated
Answer:
69
Step-by-step explanation:
the inverse cosine of 2.3/6.4 is 69 degrees
All of the following statements are true, except . . .
The product of b and c is positive.
The product of a and c is negative.
The product of b and 0 is 0.
The product of a and b is positive.
The only definite conclusion from the given information is that the product of b and c is positive, while the signs of a and b individually cannot be determined conclusively. Here option B is correct.
The product of a and c is negative: We cannot determine the signs of a and c individually, but from the given information, we can say that their product is negative. This is because the sum of a and c is 0 (a + b + c = 0), and b is positive.
If both a and c were positive or negative, their sum would be positive or negative, respectively. Therefore, one must be positive and the other negative for their sum to be zero.
The product of b and c is positive: As mentioned above, we know that b is positive and the product of a and c is negative. Since the sum of a, b, and c is zero, if b is positive and the product of a and c is negative, then the product of b and c must be positive to balance the equation.
The product of b and O is 0: This statement is always true because any number multiplied by zero is zero.
The product of a and b is positive: We cannot determine the signs of a and b individually based on the given information. As explained earlier, we only know that their sum is positive and the product of a and c is negative.
Therefore, the only statement that is guaranteed to be true based on the given information is that the product of b and c is positive. Here option B is correct.
4) The hospital and the fire department are 46 meters apart. From a window in the hospital,
the angle of elevation to the top of the fire department is 730. From the same window, the
angle of depression to the ground at the base of the fire department is 640. Find the height
of the fire department to the nearest tenth.
The height of the fire department is 244.72 m
Step-by-step explanation:
A)
Angle of elevation = 73°
The distance between the two buildings = 46 m
tan 73° = b/46
tan 73° = 3.27
tan 73° = b/46
3.27 = b/46
b = 3.27 x 46
b = 150.42 m
B)
Angel of depression= 64°
The distance between the two buildings = 46 m
tan 64° = a/46
tan 64° = 2.05
tan 64° a/46
2.05 = a/46
a = 2.05 x 46
a = 94.3 m
The total height of the fire department building = a + b
= 94.3 + 150.42
= 244.72 m
The height of the fire department is 244.72 m
a triangle has vertices at (-1,5), (4,2), and (0,0). What is the perimeter of the triangle
The perimeter of the triangle is 15.4 units.
Step-by-step explanation:
The triangle has vertices at (-1,5), (4,2), and (0,0).
To find the perimeter of the triangle, you need to find the distance of the three points which is the length of the three sides of the triangle.
Let us consider the points as A (-1,5) and B (4,2) and C (0,0).
The distance formula is given by :
⇒ [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2} }[/tex]
Distance of AB :
A (-1,5) ⇒ (x1,y1)
B (4,2) ⇒ (x2,y2)
⇒ [tex]\sqrt{(4+1)^{2}+(2-5)^{2} }[/tex]
⇒ [tex]\sqrt{5^{2}+-3^{2} }[/tex]
⇒ [tex]\sqrt{25+9}[/tex]
⇒ [tex]\sqrt{34}[/tex]
⇒ 5.8
∴ The length of the side AB of the triangle is 5.8 units.
Distance of BC :
B (4,2) ⇒ (x1,y1)
C (0,0) ⇒ (x2,y2)
⇒ [tex]\sqrt{(0-4)^{2}+(0-2)^{2} }[/tex]
⇒ [tex]\sqrt{16+4 }[/tex]
⇒ [tex]\sqrt{20}[/tex]
⇒ 4.5
∴ The length of the side BC of the triangle is 4.5 units.
Distance of CA :
C (0,0) ⇒ (x1,y1)
A (-1,5) ⇒ (x2,y2)
⇒ [tex]\sqrt{(-1-0)^{2}+(5-0)^{2} }[/tex]
⇒ [tex]\sqrt{1+25}[/tex]
⇒ [tex]\sqrt{26}[/tex]
⇒ 5.1
∴ The length of the side CA of the triangle is 5.1 units.
Now, the perimeter of the triangle is given by :
Perimeter = Sum of the lengths of all three sides of the triangle.
⇒ 5.8 + 4.5 + 5.1
⇒ 15.4 units.
∴ The perimeter of the triangle is 15.4 units.
somebody pls answer this for me i will give you the brainliest
The total area of the parallelogram is 20 square inches
Calculating the area of the parallelogramFrom the question, we have the following parameters that can be used in our computation:
The parallelogram
The total area of the parallelogram is calculated using
Area = Base * Height
Measuring the side lengths of the parallelogram, we have
Base = 4 inches
Height = 5 inches
Using the area formula , we have the following:
Area = 4 inches * 5 inches
Evaluate
Area = 20 square inches
Hence. the total area of the figure is 20 square inches
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The Pythagorean theorem states that if two side lengths of a(n) _____ triangle are known, the length of the third side can be found.
Answer:
right triangle
Step-by-step explanation:
if i multiply a number by 3 and then subtract 4, the result is the same as adding 6 to twice the number. Find this number
Final answer:
By setting up and solving the equation 3x - 4 = 2x + 6, we find that the number in question is 10. This process involves aligning the equation to solve for the variable x, representing the number we seek.
Explanation:
If we multiply a number by 3 and then subtract 4, the result is the same as adding 6 to twice the number. To find this number, we can set up an equation based on the given conditions.
Let's let the number be x. According to the first condition, multiplying x by 3 and then subtracting 4 can be represented as 3x - 4. According to the second condition, adding 6 to twice the number can be represented as 2x + 6.
The two expressions are equal, so our equation is 3x - 4 = 2x + 6.
Subtract 2x from both sides: x - 4 = 6.
Add 4 to both sides: x = 10.
Therefore, the number we are looking for is 10.
The seventh-grade spring class trip will either be to a zoo or an art museum. Which survey
method is most likely to provide a biased sample?
A. survey all of the seventh-grade students
B. survey every fifth seventh-grade student that arrives at school
C. survey 50 seventh-grade students whose names are chosen from an alphabetical list
D. survey those seventh-grade students who participated in this year’s art fair
Answer:
D. survey those seventh-grade students who participated in this year’s art fair
Step-by-step explanation:
The people who participated in the art fair will most likely want to go to the art museum, which is a biased result.
Answer:
it's d
Step-by-step explanation:
hope it helps :)
Rectangle QRST is shown. Angle QRT is congruent to angle STR, and angle STR is complementary to angle QTR. A rectangle has corner points Q, T, S, R from top left going clockwise. A line cuts through the rectangle from R to T. Which statement is true about angles QRT and QTR? They are congruent. They are complementary. They are supplementary. They are right angles.
Answer:
They are complementary.
Step-by-step explanation:
I made a small visual (mainly so I could visualize it but I figured it might help you too).
Since QRT is congruent to STR, QTR and SRT are also congruent.
Therefore, since STR is complementary to QTR, and STR is congruent to QRT, QTR must be complementary to QRT due to the transitive property.
The angles QRT and QTR are complementary (sum up to 90°)
What is an angle?An angle is formed from the intersection of two lines. Types of angles are acute, obtuse and right angled.
In triangle QRT:
∠QRT + ∠QTR + ∠TQR = 180° (angle in a triangle)
90 + ∠QRT + ∠QTR = 180
∠QRT + ∠QTR = 90°
The angles QRT and QTR are complementary (sum up to 90°)
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What is the probability of an event that is impossible?
Answer:
0
Step-by-step explanation:
If the event is not possible it's not going to happen
A six-sided number cube is labeled with the numbers 1-6, one number on each face. Each number is used exactly once. How
many possible outcomes exist when the cube is rolled two times?
oooo
Save and Exit
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Submit
Mark this and return
Answer:
30 possible outcomes
Step-by-step explanation:
The total number of outcomes is found by multiplying the number of possiblities of each number cube together (6*6) which is 36. You now need to remove the double, which there are six of them. So subtract 6 from 36 to get 30.
what two numbers give you the difference of 4 and the sum of 58?
Answer:
46.4 & 11.6
Step-by-step explanation:
I just did some guess and check, but 46.4/11.6 = 4 and 46.4+11.6 = 58
The volume of a cone with a radius of 7 cm is 147 pi cubic centimeters. Which expression can be used to find h, the height of the cone?
147 pi = one-third (7) (h) squared
147 pi = one-third pi (7 squared) (h)
147 pi = one-third pi h
147 pi = one-third pi (7) (h)
Answer:
147 pi = one-third pi (7 squared) (h) 147 pi = one-third pi h
explanation:
Answer:
b. 147 pi = one-third pi (7 squared) (h)
Step-by-step explanation:
did test on e2021
What is the probability that in two rolls of a single die, a man will roll a 2 on the first roll and a number greater than five on the second?
(A) 1/3
(B) 1/6
(C) 1/12
(D) 1/18
(E) None of the above
I got; (E) None of the above. Because I got 1/36.
Is this correct?
Answer:
Step-by-step explanation:
I got A because the probability of rolling a 2 is 1/6 chance. Then the probability of getting a number greater than 5 is a 1/6 chance because there’s only one number bigger than five on a die. So I added them together got 2/6 and simplified down is 1/3
Answer:
That's right.
A 2 on the first roll means 1 possibility out of 6.
The only number greater than 5 in a dice is 6, therefore it's the same case from above.
1/6 on first roll
1/6 on second roll
[tex]\frac{1}{6} * \frac{1}{6} = \frac{1}{36}[/tex]
35% off $85.98. I'm having trouble with this.
Answer:
$55.89
Step-by-step explanation:
To figure out the discounted price, you multiply the original price (85.98) by the percentage, (35% = .35) Then subtract that number, (30.093) from the original price to find the discounted price.
Answer:
$24.56
Step-by-step explanation:
85.98 / 35 = 2.456
2.456 x 10 = 24.56
If 2x – 3 + 3x = – 27, what is the value of x?
Answer:
x = -24/5
Step-by-step explanation:
2x – 3 + 3x = – 27
Combine like terms
5x -3 = -27
Add 3 to each side
5x-3+3 = -27+3
5x = -24
Divide each side by 5
5x/5 = -24/5
x = -24/5
Answer:
x= -24/5
Step-by-step explanation:
To solve, we need to get x by itself.
2x – 3 + 3x = – 27
Combine like terms
(2x+3x)-3= -27
5x-3=-27
Add 3 to both sides
5x-3+3=-27+3
5x= -24
Divide both sides by 5
5x/5= -24/5
x= -24/5